UP Police Constable 2025 Question Paper (10-Jun-026) (Shift 1)

An interview was conducted with $60$ individuals to find out whether they play Tennis, Chess and Carrom. The information collected has been represented in a standard Venn diagram format. If the number of individuals playing "only Chess" is $11$ and the number of individuals playing "only Tennis" is $13$, what is the total number of individuals who play only Chess and only Tennis combined?

Read the question and statements provided and then decide whether the information provided in the statements is sufficient to answer the question.
Find the unique values of $x$, $y$ and $z$, if:
Statements:
I. $2x+3y+z=16$
II. $x=y$

A man walks $3\text{km}$ North, then turns East and walks $4\text{km}$, then turns South and walks $3\text{km}$, then turns West and walks $2\text{km}$. What is his shortest distance now from the starting point and in which direction is he from his starting point?

The data performance shows the sales of Company 1 and Company 2 over a period of six years. In a standard analysis where the peak divergence happens at the final phases of a 5-year cycle, let the sales difference be maximum in 2024 with a difference value of $40$ units compared to other years. Based on this standard dataset representation, identify the year with the greatest difference.

A man starts walking from point A. He walks $4\text{km}$ North, then turns right and walks $3\text{km}$. He then turns right again and walks $4\text{km}$. He finally turns left and walks $5\text{km}$. What is the shortest distance between his current position and point A and in which direction is he from point A?